Taxonomy Distribution Report

Overview

• Total Concepts: 200
• Number of Taxonomies: 12
• Average Concepts per Taxonomy: 16.7

Distribution Summary

Category	TaxonomyID	Count	Percentage	Status
FFT Algorithm	FFTA	24	12.0%	✅
Visualization and Applications	VAPP	24	12.0%	✅
Benchmarking	BNCH	18	9.0%	✅
Mathematical Foundations	MATH	16	8.0%	✅
Signal Processing	SIGP	16	8.0%	✅
Fourier Theory	FOUR	16	8.0%	✅
Hardware Platforms	HARD	16	8.0%	✅
DSP Instructions	DSPI	16	8.0%	✅
Programming	PROG	16	8.0%	✅
Performance Optimization	PERF	14	7.0%	✅
FFT Libraries	LIBS	12	6.0%	✅
Signal Pipeline	PIPE	12	6.0%	✅

Visual Distribution

FFTA   ██████  24 ( 12.0%)
VAPP   ██████  24 ( 12.0%)
BNCH   ████  18 (  9.0%)
MATH   ████  16 (  8.0%)
SIGP   ████  16 (  8.0%)
FOUR   ████  16 (  8.0%)
HARD   ████  16 (  8.0%)
DSPI   ████  16 (  8.0%)
PROG   ████  16 (  8.0%)
PERF   ███  14 (  7.0%)
LIBS   ███  12 (  6.0%)
PIPE   ███  12 (  6.0%)

Balance Analysis

✅ No Over-Represented Categories

All categories are under the 30% threshold. Good balance!

Category Details

FFT Algorithm (FFTA)

Count: 24 concepts (12.0%)

Concepts:

• 1. FFT Algorithm
• 1. FFT History
• 1. Cooley Tukey Algorithm
• 1. Radix-2 FFT
• 1. Radix-4 FFT
• 1. Split Radix FFT
• 1. Butterfly Operation
• 1. Butterfly Diagram
• 1. Twiddle Factors
• 1. Bit Reversal
• 1. In Place FFT
• 1. Decimation In Time
• 1. Decimation In Frequency
• 1. FFT Stages
• 1. FFT Complexity
• ...and 9 more

Visualization and Applications (VAPP)

Count: 24 concepts (12.0%)

Concepts:

• 1. Data Visualization
• 1. Spectrum Plot
• 1. Spectrogram
• 1. Waterfall Display
• 1. Time Domain Plot
• 1. Performance Charts
• 1. Comparison Tables
• 1. Performance Dashboard
• 1. Benchmark Results
• 1. Report Generation
• 1. Audio Processing
• 1. Music Analysis
• 1. Voice Recognition
• 1. Noise Cancellation
• 1. Spectrum Analyzer
• ...and 9 more

Benchmarking (BNCH)

Count: 18 concepts (9.0%)

Concepts:

• 1. Benchmarking
• 1. Performance Metrics
• 1. Execution Time
• 1. Clock Cycles
• 1. Microseconds Per FFT
• 1. FFTs Per Second
• 1. Throughput Metric
• 1. Latency Metric
• 1. Memory Usage
• 1. Code Size
• 1. Test Harness
• 1. Warm Up Runs
• 1. Statistical Sampling
• 1. Mean Execution Time
• 1. Standard Deviation
• ...and 3 more

Mathematical Foundations (MATH)

Count: 16 concepts (8.0%)

Concepts:

• 1. Complex Numbers
• 1. Imaginary Unit
• 1. Euler's Formula
• 1. Sine Wave
• 1. Cosine Wave
• 1. Amplitude
• 1. Frequency
• 1. Phase
• 1. Periodic Functions
• 1. Harmonics
• 1. Complex Conjugate
• 1. Magnitude
• 1. Unit Circle
• 1. Hertz
• 1. Time Domain
• ...and 1 more

Signal Processing (SIGP)

Count: 16 concepts (8.0%)

Concepts:

• 1. Analog Signals
• 1. Digital Signals
• 1. Sampling
• 1. Sampling Rate
• 1. Nyquist Theorem
• 1. Aliasing
• 1. Quantization
• 1. Bit Depth
• 1. ADC Conversion
• 1. Signal Noise
• 1. Signal To Noise Ratio
• 1. Bandwidth
• 1. Low Pass Filter
• 1. Band Pass Filter
• 1. Windowing Functions
• ...and 1 more

Fourier Theory (FOUR)

Count: 16 concepts (8.0%)

Concepts:

• 1. Jean Baptiste Fourier
• 1. Fourier Series
• 1. Continuous Fourier Transform
• 1. Discrete Fourier Transform
• 1. DFT Definition
• 1. DFT Complexity
• 1. Inverse DFT
• 1. Frequency Bins
• 1. Bin Resolution
• 1. Spectral Analysis
• 1. Power Spectrum
• 1. Magnitude Spectrum
• 1. Phase Spectrum
• 1. Frequency Resolution
• 1. Zero Padding
• ...and 1 more

Hardware Platforms (HARD)

Count: 16 concepts (8.0%)

Concepts:

• 1. Microcontroller
• 1. ARM Architecture
• 1. ARM Cortex M Series
• 1. ARM Cortex M4
• 1. ARM Cortex M33
• 1. Raspberry Pi Pico
• 1. Raspberry Pi Pico 2
• 1. RP2040 Chip
• 1. RP2350 Chip
• 1. DSP Chip
• 1. General Purpose CPU
• 1. Clock Speed
• 1. CPU Cycles
• 1. Memory Architecture
• 1. Cache Memory
• ...and 1 more

DSP Instructions (DSPI)

Count: 16 concepts (8.0%)

Concepts:

• 1. DSP Instructions
• 1. SIMD Instructions
• 1. MAC Instruction
• 1. Multiply Accumulate
• 1. Saturating Arithmetic
• 1. Fixed Point Arithmetic
• 1. Floating Point Unit
• 1. FPU Operations
• 1. Single Precision Float
• 1. Q Format Numbers
• 1. Q15 Format
• 1. Q31 Format
• 1. Hardware Multiplier
• 1. Pipelining
• 1. Instruction Latency
• ...and 1 more

Programming (PROG)

Count: 16 concepts (8.0%)

Concepts:

• 1. C Language
• 1. C Compiler
• 1. GCC Compiler
• 1. ARM Compiler
• 1. Compiler Optimization
• 1. Optimization Flags
• 1. Assembly Language
• 1. ARM Assembly
• 1. Thumb Instructions
• 1. Python Language
• 1. NumPy Library
• 1. SciPy FFT
• 1. MicroPython
• 1. Memory Management
• 1. Reading Assembly Code
• ...and 1 more

Performance Optimization (PERF)

Count: 14 concepts (7.0%)

Concepts:

• 1. Integer FFT
• 1. Floating Point FFT
• 1. Fixed Point FFT
• 1. Precision Tradeoffs
• 1. Speed Accuracy Tradeoff
• 1. Cache Effects
• 1. Memory Access Patterns
• 1. Loop Unrolling
• 1. Vectorization
• 1. Real Time Processing
• 1. Streaming FFT
• 1. Block Processing
• 1. Double Buffering
• 1. Compiler Settings

FFT Libraries (LIBS)

Count: 12 concepts (6.0%)

Concepts:

• 1. FFT Libraries
• 1. CMSIS DSP Library
• 1. Kiss FFT
• 1. FFTW Library
• 1. Arm Math Library
• 1. Pico SDK FFT
• 1. Open Source FFT
• 1. Library Licensing
• 1. MIT License
• 1. GPL License
• 1. Library Integration
• 1. API Documentation

Signal Pipeline (PIPE)

Count: 12 concepts (6.0%)

Concepts:

• 1. Signal Preprocessing
• 1. DC Offset Removal
• 1. Normalization
• 1. Window Application
• 1. Zero Padding Input
• 1. Post Processing
• 1. Magnitude Calculation
• 1. Phase Calculation
• 1. Decibel Conversion
• 1. Peak Detection
• 1. Frequency Estimation
• 1. Dominant Frequency

Recommendations

• ✅ Excellent balance: Categories are evenly distributed (spread: 6.0%)
• ✅ MISC category minimal: Good categorization specificity

Educational Use Recommendations

• Use taxonomy categories for color-coding in graph visualizations
• Design curriculum modules based on taxonomy groupings
• Create filtered views for focused learning paths
• Use categories for assessment organization
• Enable navigation by topic area in interactive tools

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Report generated by learning-graph-reports/taxonomy_distribution.py